Nowadays NLEEs have been the subject of allembracing studies in various branches of nonlinear sciences. Most of the phenomena in real world can be described using non-linear equations. A nonlinear phenomenon plays a vital role in applied mathematics, physics and engineering branches. Many complex nonlinear phenomenons in plasma physics, fluid dynamics, chemistry, biology, mechanics, elastic med...

Abstract The gravitino problem is investigated in the framework of extended gravity cosmologies. In particular, we consider f ( R ) gravity, most natural extension Hilbert–Einstein action, and $$f({\mathcal{T}})$$ f ( T ) teleparallel e...

The exact traveling wave solutions of the nonlinear variable coefficients Burgers-Fisher equation and the generalized Gardner equation with forced terms can be found in this article using the generalized ( ′ G )-expansion method. As a result, hyperbolic, trigonometric and rational function solutions with parameters are obtained. When these parameters are taken special values, the solitary wave ...

Background: In vitro model studies are becoming increasingly popular for experimental research designs. They include isolation and expansion of cells of a particular tissue, such as the nervous tissue which contributes to understanding the underlying mechanisms in many pathologies. It enables  the scrutinization of intracellular signaling pathways responsible for cell death. OBJECTIVES: In the ...

In the present article, we construct the exact traveling wave solutions of nonlinear PDEs in mathematical physics via the (1 + 1) dimensional modified Kawahara equation by using the following two methods: (i) A further improved ( ′ G )expansion method, where G = G(ξ) satisfies the auxiliary ordinary differential equation [G′(ξ)]2 = aG2(ξ) + bG4(ξ) + cG6(ξ), where ξ = x − V t while a, b, c and V...

a gel composite (based on polyacrylamide and crosslinker cr(iii) acetate) was prepared by solvent method (distillate and water formation) and nanoclay particle (kaolinite). using xrd tests, d001 was evaluated for kaolinite nanoparticles in gel composite. kaolinite modification using dimethyl-sulfoxide led to increase interlamellar spacing from 7.21 to 10.82 o a. based on the results obtained fo...

We investigate f (R) theories of gravity within the Palatini approach and show how one can determine the expansion history, H(a), for an arbitrary choice of f (R). As an example, we consider cosmological constraints on such theories arising from the supernova type Ia, large scale structure formation and cosmic microwave background observations. We find that best fit to the data is a non-null le...

Extracting reliable low-energy information from string compactifications notoriously requires a detailed understanding of the UV sensitivity corresponding effective field theories. Despite past efforts in computing perturbative corrections to tree-level action, neither systematic approach nor unified framework has emerged yet. We make progress this direction, focusing on moduli dependence 4D sc...

if the polynomial has no roots in [−1, 1]. If the inverse polynomial is decomposed into partial fractions, the an are linear combinations of simple functions of the polynomial roots. If the first k of the coefficients an are known, the others become linear combinations of these with expansion coefficients derived recursively from the bj ’s. On a closely related theme, finding a polynomial with ...